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Finding the Fourth Proportional to 2,573.55, 3,841.69 and 2,262.16

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Solution

The fourth proportional to 2,573.55, 3,841.69 and 2,262.16 is: 3,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.55 : 3,841.69 = 2,262.16 : x
  2. Step 2: Convert to fraction form
    2,573.55/3,841.69 = 2,262.16/x
  3. Step 3: Cross multiply
    2,573.55x = 3,841.69 × 2,262.16
  4. Step 4: Simplify right side
    2,573.55x = 8,690,517.45
  5. Step 5: Solve for x
    x = 8,690,517.45/2,573.55
  6. Step 6: Final answer
    x = 3,376.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.